The question is an illustration of system of equations
There are 14 problems worth 5 points and 15 problems worth 2 points
The system of equations is given as:
[tex]x + y = 29[/tex]
[tex]5x + 2y = 100[/tex]
Make x the subject in [tex]x + y = 29[/tex]
[tex]x = 29 - y[/tex]
Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]
[tex]5(29 - y) + 2y = 100[/tex]
Open brackets
[tex]145 - 5y + 2y = 100[/tex]
Evaluate like terms
[tex]145 - 3y = 100[/tex]
Collect like terms
[tex]- 3y = 100-145[/tex]
Evaluate like terms
[tex]- 3y = -45[/tex]
Divide both sides by -3
[tex]y = 15[/tex]
Substitute 15 for y in [tex]x = 29 - y[/tex]
[tex]x = 29 - 15[/tex]
[tex]x = 14[/tex]
This means that there are 14 problems worth 5 points and 15 problems worth 2 points
Read more about system of equations at:
https://brainly.com/question/14323743
Answer:
Its B
Step-by-step explanation:
Got it wrong and saw the answer ;(
